Interfacial thermal resistance persists in matter hotter than the Sun

Physicists are investigating interfacial thermal resistance (ITR) in high-energy-density matter, a state of matter characterized by extreme pressure and heat. This phenomenon, where heat flow is impeded at the boundary between two materials, is a critical challenge in modern engineering and electronics cooling.
Why it matters
Understanding heat transfer at the atomic level in extreme conditions could lead to breakthroughs in cooling technology for high-performance electronics and energy systems.
Bite into a hot pocket fresh from the microwave and you will experience one of the small injustices of physics. The crust is barely warm, yet the filling is hot enough to strip the roof of your mouth. Two materials in perfect contact, at wildly different temperatures. Leave it on the counter for a few minutes and the injustice resolves itself: heat flows from hot to cold, the filling cools, the crust warms, and everything drifts towards a common temperature.
That everyday picture was first written down mathematically by Joseph Fourier two centuries ago.¹ But Fourier noticed something subtler, too. Whenever heat crosses a boundary between two different materials, it meets resistance. Right at the interface, the temperature does not fall smoothly but jumps, as if the heat were queueing at a toll booth.
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